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Simplifying -3(8p + 3) + -2(2 + -17p) + -3(6 + 3p) = 0 Reorder the terms: -3(3 + 8p) + -2(2 + -17p) + -3(6 + 3p) = 0 (3 * -3 + 8p * -3) + -2(2 + -17p) + -3(6 + 3p) = 0 (-9 + -24p) + -2(2 + -17p) + -3(6 + 3p) = 0 -9 + -24p + (2 * -2 + -17p * -2) + -3(6 + 3p) = 0 -9 + -24p + (-4 + 34p) + -3(6 + 3p) = 0 -9 + -24p + -4 + 34p + (6 * -3 + 3p * -3) = 0 -9 + -24p + -4 + 34p + (-18 + -9p) = 0 Reorder the terms: -9 + -4 + -18 + -24p + 34p + -9p = 0 Combine like terms: -9 + -4 = -13 -13 + -18 + -24p + 34p + -9p = 0 Combine like terms: -13 + -18 = -31 -31 + -24p + 34p + -9p = 0 Combine like terms: -24p + 34p = 10p -31 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -31 + 1p = 0 Solving -31 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1p = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1p = 0 + 31 1p = 0 + 31 Combine like terms: 0 + 31 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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